{"title":"渐近最优光学正交码的新构造","authors":"Jin-Ho Chung, Kyeongcheol Yang","doi":"10.1109/ITWF.2015.7360748","DOIUrl":null,"url":null,"abstract":"An optical orthogonal code (OOC) of length N is a set of {0, 1}-sequences of length N, all of which have a constant weight. It is employed as a spreading code in optical communication systems, where 1 means signal `on' and 0 signal `off.' In this paper, we present a generic construction of OOCs of length (q-1)N from an OOC of length N, where q is a prime power with gcd(q -1,N) = 1. This construction can be applied to any OOCs with maximum correlation value 1 and weight less than or equal to q. As a result, a new family of asymptotically optimal OOCs with respect to the Johnson bound can be obtained from an optimal OOC with maximum correlation value 1.","PeriodicalId":281890,"journal":{"name":"2015 IEEE Information Theory Workshop - Fall (ITW)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"New construction of asymptotically optimal optical orthogonal codes\",\"authors\":\"Jin-Ho Chung, Kyeongcheol Yang\",\"doi\":\"10.1109/ITWF.2015.7360748\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An optical orthogonal code (OOC) of length N is a set of {0, 1}-sequences of length N, all of which have a constant weight. It is employed as a spreading code in optical communication systems, where 1 means signal `on' and 0 signal `off.' In this paper, we present a generic construction of OOCs of length (q-1)N from an OOC of length N, where q is a prime power with gcd(q -1,N) = 1. This construction can be applied to any OOCs with maximum correlation value 1 and weight less than or equal to q. As a result, a new family of asymptotically optimal OOCs with respect to the Johnson bound can be obtained from an optimal OOC with maximum correlation value 1.\",\"PeriodicalId\":281890,\"journal\":{\"name\":\"2015 IEEE Information Theory Workshop - Fall (ITW)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE Information Theory Workshop - Fall (ITW)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITWF.2015.7360748\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE Information Theory Workshop - Fall (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITWF.2015.7360748","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New construction of asymptotically optimal optical orthogonal codes
An optical orthogonal code (OOC) of length N is a set of {0, 1}-sequences of length N, all of which have a constant weight. It is employed as a spreading code in optical communication systems, where 1 means signal `on' and 0 signal `off.' In this paper, we present a generic construction of OOCs of length (q-1)N from an OOC of length N, where q is a prime power with gcd(q -1,N) = 1. This construction can be applied to any OOCs with maximum correlation value 1 and weight less than or equal to q. As a result, a new family of asymptotically optimal OOCs with respect to the Johnson bound can be obtained from an optimal OOC with maximum correlation value 1.
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